Chandler Hutchinson added 13 points and 10 rebounds and Nick Duncan 14 points for the Broncos (3-2).
Alex Young scored 15 points, 10 in the first half, and Luke Nelson 13 for the Anteaters (4-1), who were off to their best start since the 1982-83 season. Seven-foot-6 Mamadou Ndiaye dealt with foul trouble and had just four points, one block and one rebound in 19 minutes.
Drmic's 3-pointer at the end of the first half gave Boise State a 30-27 lead and the Broncos led the entire second half. Ahead by four with 2:26 left, they outscored UC Irvine 9-6 the rest of the way, making seven free throws.
Boise State, which came in averaging 27 3-point attempts per game, made 11 of 28 against the Anteaters.